Concept explainers
(a)
To design an experiment that will require a two sample t procedure to analyse the results.
(a)
Explanation of Solution
In the question agricultural researchers wants to design an experiment to find out can a food additive increase egg production. They have two kinds of feed: the regular feed and the new feed with the additive. Thus, to design an experiment that will require a two sample t procedure to analyse the results we have to randomly choose
(b)
To design an experiment that will require a matched-pairs t procedure to analyse the results.
(b)
Explanation of Solution
In the question agricultural researchers wants to design an experiment to find out can a food additive increase egg production. They have two kinds of feed: the regular feed and the new feed with the additive. Thus, to design an experiment that will require a matched-pairs t procedure to analyse the results we have to randomly divide the
(c)
To explain which experiment would you consider the stronger design and why.
(c)
Answer to Problem 1E
The matched pair design is considered to be stronger.
Explanation of Solution
In the question agricultural researchers wants to design an experiment to find out can a food additive increase egg production. They have two kinds of feed: the regular feed and the new feed with the additive. Thus, by looking at the two designs in the above part (a) and (b), that is to design an experiment that will require a two sample t procedure to analyse the results and second one to design an experiment that will require a matched-pairs t procedure to analyse the results, we can say that we would consider the design of the matched pairs the stronger design because the hens vary in their egg production and matched pairs will help with that.
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